Skip to main content

On nodal curves

Part of the Lecture Notes in Mathematics book series (LNM,volume 997)

Keywords

  • Fundamental Group
  • Irreducible Component
  • Betti Number
  • Cartier Divisor
  • Nodal Curve

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abhyankar, S., Tame coverings and fundamental groups of algebraic varieties, I,II, Amer. J. Math. 81(1959), 46–94; 82(1960), 120–178.

    CrossRef  MathSciNet  Google Scholar 

  2. Alibert, D. and Maltsiniotis, G., Groupe fondamental du complémentaire d'une courbe à points doubles ordinaires, Bull. Soc. Math. France 102(1974), 335–351.

    MathSciNet  MATH  Google Scholar 

  3. Arborello, E. and Cornalba, M., A few remarks about the variety of irreducible plane curves of given degree and genus, preprint.

    Google Scholar 

  4. Deligne, P., Le groupe fondamental du complément d'une courbe plane n'ayant que des points doubles ordinaires est abélien, Séminaire Bourbaki no 543, Springer Lecture Notes 842(1981), 1–10.

    MathSciNet  MATH  Google Scholar 

  5. Deligne, P. and Mumford, D., The irreducibility of the space of curves of given genus, Publ. Math. I.H.E.S. 36(1969), 75–100.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Esnault, H., Fibre de Milnor d'une cône sur une courbe plane singulière, Invent. Math. 68(1982), 477–496.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Fulton, W., On the fundamental group of the complement of a node curve, Annals of Math. 111(1980), 407–409.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Fulton, W., On the irreducibility of the moduli space of curves, Invent. Math. 67(1982), 87–88.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Fulton, W. and Lazarsfeld, R., Connectivity and its applications in algebraic geometry, Springer Lecture Notes 862(1981), 26–92.

    MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Fulton, W. (1983). On nodal curves. In: Ciliberto, C., Ghione, F., Orecchia, F. (eds) Algebraic Geometry — Open Problems. Lecture Notes in Mathematics, vol 997. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061642

Download citation

  • DOI: https://doi.org/10.1007/BFb0061642

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12320-0

  • Online ISBN: 978-3-540-40047-9

  • eBook Packages: Springer Book Archive